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Simplifying z2 + -1(5 + 2i) * z + (1 + i) = 0 Reorder the terms for easier multiplication: z2 + -1z(5 + 2i) + (1 + i) = 0 z2 + (5 * -1z + 2i * -1z) + (1 + i) = 0 Reorder the terms: z2 + (-2iz + -5z) + (1 + i) = 0 z2 + (-2iz + -5z) + (1 + i) = 0 Remove parenthesis around (1 + i) z2 + -2iz + -5z + 1 + i = 0 Reorder the terms: 1 + i + -2iz + -5z + z2 = 0 Solving 1 + i + -2iz + -5z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + i + -2iz + -5z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + i + -2iz + -5z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i + -2iz + -5z + z2 = 0 + -1 i + -2iz + -5z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 i + -2iz + -5z + z2 = -1 Add '5z' to each side of the equation. i + -2iz + -5z + 5z + z2 = -1 + 5z Combine like terms: -5z + 5z = 0 i + -2iz + 0 + z2 = -1 + 5z i + -2iz + z2 = -1 + 5z Add '-1z2' to each side of the equation. i + -2iz + z2 + -1z2 = -1 + 5z + -1z2 Combine like terms: z2 + -1z2 = 0 i + -2iz + 0 = -1 + 5z + -1z2 i + -2iz = -1 + 5z + -1z2 Reorder the terms: 1 + i + -2iz + -5z + z2 = -1 + 5z + -1z2 + 1 + -5z + z2 Reorder the terms: 1 + i + -2iz + -5z + z2 = -1 + 1 + 5z + -5z + -1z2 + z2 Combine like terms: -1 + 1 = 0 1 + i + -2iz + -5z + z2 = 0 + 5z + -5z + -1z2 + z2 1 + i + -2iz + -5z + z2 = 5z + -5z + -1z2 + z2 Combine like terms: 5z + -5z = 0 1 + i + -2iz + -5z + z2 = 0 + -1z2 + z2 1 + i + -2iz + -5z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 1 + i + -2iz + -5z + z2 = 0 The solution to this equation could not be determined.
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